Answered

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Flying to Houston with a tailwind a plane averaged 107 mph. On the return trip the plane only averaged 85 mph while flying back into the same wind. Find the speed of the plane in still air and the speed of the wind

Sagot :

ashishdwivedilVT

The wind speed and plane speed is 11 and 96  mph.

It is required to find the speed of the plane in still air and the speed of the wind.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let plane speed be "p".

Let wind speed be "w".

According to given question we have,

p + w = 107 mph

p - w =  85 mph

By the method of elimination we get,

2p = 192

p = 96 mph

The plane speed is 96 mph.

Solve for "w":

p + w = 107

96 + w = 107

w = 11 mph

The wind speed is  11 mph.

Therefore, the wind speed and plane speed is 11 and 96  mph.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

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